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Finding the Fourth Proportional to 4,160.79, 6,236.80 and 1,660.99

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Solution

The fourth proportional to 4,160.79, 6,236.80 and 1,660.99 is: 2,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.79 : 6,236.80 = 1,660.99 : x
  2. Step 2: Convert to fraction form
    4,160.79/6,236.80 = 1,660.99/x
  3. Step 3: Cross multiply
    4,160.79x = 6,236.80 × 1,660.99
  4. Step 4: Simplify right side
    4,160.79x = 10,359,262.43
  5. Step 5: Solve for x
    x = 10,359,262.43/4,160.79
  6. Step 6: Final answer
    x = 2,489.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.